Finding the Fourth Proportional to 1,183.55, 1,776.89 and 1,011.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.55 : 1,776.89 = 1,011.32 : x
2. Step 2: Convert to fraction form
   1,183.55/1,776.89 = 1,011.32/x
3. Step 3: Cross multiply
   1,183.55x = 1,776.89 × 1,011.32
4. Step 4: Simplify right side
   1,183.55x = 1,796,999.34
5. Step 5: Solve for x
   x = 1,796,999.34/1,183.55
6. Step 6: Final answer
   x = 1,518.32